Given numbers are 756,545,442,728

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 756,545,442,728 is 182112840.

Find LCM of 756,545,442,728 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 7 x 13 x 27 x 545 x 17 x 2 = 182112840

Therefore, the lowest common multiple of 756,545,442,728 is 182112840.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

756 x 545 x 442 x 728 = 132578147520

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

545 : 1, 5, 109, 545

442 : 1, 2, 13, 17, 26, 34, 221, 442

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,545,442,728, is 1.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

545:5x 109

442:2x 13x 17

728:2x 2x 2x 7x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 7x 13 = 728

Therefore, the value for common factors is 728.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 132578147520/(1x728)

LCM = 132578147520/728

LCM = 182112840

Thus, we can understand that the LCM of 756,545,442,728 is 182112840.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 236, 626, 713, 826
• LCM of 498, 651, 676, 292
• LCM of 792, 790, 613, 307
• LCM of 155, 347, 796, 713
• LCM of 914, 404, 318, 384

1. What is the LCM of 756, 545, 442, 728?

Answer: LCM of 756, 545, 442, 728 is 182112840.

2. How to calculate the LCM of 756, 545, 442, 728?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 756, 545, 442, 728.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.